CALC? Use Eq. (9.20) to calculate the moment of inertia of a slender, uniform rod with mass M and length L about an axis at one end, perpendicular to the rod.

Solution 58E Step 1: To calculate the moment of inertia of a slender, uniform rod with mass M and length L about an axis at one end, perpendicular to the rod. Step 2: From the above diagram, the total length of the slender is L. consider a small segment dm is small element of mass situated at a distance r from the origin. The moment of inertia of the slender about its origin and perpendicular to the rod is obtained using the formula L 2 I =r dm-----(1) 0 Step 3: If the length of the small segment is dr and the mass per unit length of the rod is M , dm L becomes M dm = L dr----(2)